MATH

HENRY, ANDY AND JOE SHARED SOME SWEETS IN THE RATIO 15:12:9 RESPECTIVELY. HENRY HAD 6 MORE SWEETS THAN ANDY. IF ANDY GAVE 9 SWEETS TO JOE, HOW MANY SWEETS WOULD JOE HAVE?

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  1. (a+6)/a = 15/12
    12(a+6) = 15a
    12a+72 = 15a
    3a = 72
    a = 24

    a/j = 12/9, so
    24/j = 12/9
    j = 18

    So, if Andy gave Joe 9, he'd have 27

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